We consider an one-dimensional problem of propagation of a short light pulse in a medium with Lorentz contour of the spectral gain line. Simple approximate formulas for the spatial distribution of the field at any time are obtained. It is shown that not only normalization of the time dependence of the field at a fixed spatial point but also normalization of the spatial distribution of the field at a fixed time occur with increasing path length. It is also shown that the velocity of motion of the spatial maximum of the field is higher than the group velocity and, in any case, as distinct from the group velocity, cannot be smaller than the halved phase velocity of light in this material. Simple expressions for the spatial and temporal growth rates of the field increase in a gain medium are obtained.
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References
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, Buterworth-Heinemann, Oxford (1984).
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves [in Russian], Nauka, Moscow (1979).
L. A. Vainshtein, Sov. Phys. Usp., 19, No. 2, 189–205 (1976). https://doi.org/10.1070/PU1976v019n02ABEH005138
V. V. Zheleznyakov, V. V. Kocharovskii, and Vl. V. Kocharovskii, Sov. Phys. Usp., 32, No. 10, 835– 870 (1989). https://doi.org/10.1070/PU1989v032n10ABEH002764
B.MacKe and B. Ségard, Phys. Rev. A, 86, No. 1, 013837 (2012). https://doi.org/10.1103/PhysRevA.86.013837
B.MacKe and B. Ségard, Phys. Rev. A, 91, No. 5, 053814 (2012). https://doi.org/10.1103/PhysRevA.91.053814
I.O. Zolotovskii, R. N. Minvaliev, and D. I. Sementsov, Phys. Usp., 56, No. 12, 1245–1256 (2013). https://doi.org/10.3367/UFNe.0183.201312e.1353
G. B. Malykin and E. A. Romanets, Opt. Spectrosc., 112, No. 6, 920–934 (2012). https://doi.org/10.1134/S0030400X12040145
B.MacKe and B. Ségard, Phys. Rev. A, 73, No. 4, 043802 (2006). https://doi.org/10.1103/PhysRevA.73.043802
A. M. Steinberg and R. Y. Chiao, Phys. Rev. A, 49, No. 3, 2071–2075 (1994). https://doi.org/10.1103/physreva.49.2071
A. M. Akulshin, A. Cimmino, and G. I. Opat, Quantum Electron., 32, No. 7, 567–569 (2002). https://doi.org/10.1070/QE2002v032n07ABEH002249
A. M. Akulshin and R. J.McLean, J. Opt., 12, No. 10, 104001 (2010). https://doi.org/10.1088/2040-8978/12/10/104001
N. S. Bukhman, Quantum Electron., 31, No. 9, 774–780 (2001). https://doi.org/10.1070/QE2001v031n09ABEH002043
N. S. Bukhman, Quantum Electron., 34, No. 2, 120–124 (2004). https://doi.org/10.1070/QE2004v034n02ABEH002595
N. S. Bukhman, Quantum Electron., 34, No. 4, 299–306 (2004). https://doi.org/10.1070/QE2004v034n04ABEH002670
M.D. Stenne and M.A.Neifeld, Opt. Express, 16, No. 2, 651–662 (2008). https://doi.org/10.1364/OE.16.000651
R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J.C. Howell, Phys. Rev. Lett., 98, No. 4, 043902 (2007). https://doi.org/10.1103/PhysRevLett.98.043902
Y. Liu, L. Ren, and S. Wang, Guangxue Xuebao/Acta Opt. Sin., 28, No. 11, 2077–2082 (2008).
Z. Zhu and D. J. Gauthier, Opt. Express, 14, No. 16, 7238–7245 (2006). https://doi.org/10.1364/OE.14.007238
S. Wang, L. Ren, Y. Liu, and Y. Tomita, Opt. Express, 16, No. 11, 8067–8076 (2008). https://doi.org/10.1364/OE.16.008067
L. Ren and Y. Tomita, J. Opt. Soc. Am. B, 25, No. 5, 741–746 (2008). https://doi.org/10.1364/JOSAB.25.000741
N. S. Bukhman and A. V. Kulikova, J. Commun. Technol. Electron., 60, No. 5, 502–506 (2015). https://doi.org/10.1134/S1064226915030080
D. V.Vasil’ev, M. R. Vitol’, Yu.N.Gorshenkov, et al., Radioengineering Circuits and Signals [in Russian], Radio i Svyaz’, Moscow (1982).
M. Abramowitz and I.A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York (1972).
M. I. Rabinovich and D. I. Trubetskov, and Waves in Linear and Nonlinear Systems, Kluwer, Dordrecht (1989).
N. S. Bukhman and S.V.Bukhman, Tech. Phys., 48, No. 11, 1454–1459 (2003). https://doi.org/10.1134/1.1626779
A. Yariv, Introduction to Optical Electronics, Holt, Reinehart, and Winston, New York (1971).
D. N. Klyshko, Physical Foundations of Quantum Electronics, World Scientific, Singapore (2011).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 63, Nos. 12, pp. 1082–1099, December 2020. Russian DOI: 10.52452/00213462_2020_63_12_1082
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Bukhman, N.S. On the Propagation of a Short Light Pulse in a Medium with a Lorentz Contour of the Spectral Gain Line. Radiophys Quantum El 63, 976–991 (2021). https://doi.org/10.1007/s11141-021-10106-7
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DOI: https://doi.org/10.1007/s11141-021-10106-7